Question : Directions: The mean weight of 8 students is 57 kg. The weight of each student is 55 kg, 49 kg, 57 kg, 63 kg, 68 kg, 52 kg, X kg, and Y kg. What is the sum of X and Y?
Option 1: 116 kg
Option 2: 112 kg
Option 3: 110 kg
Option 4: 114 kg
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Correct Answer: 112 kg
Solution : Given: The mean weight of 8 students = 57 kg
⇒The sum of the weight of 8 students = Mean weight of 8 students × number of students = 57 × 8 = 456 ⇒The sum of weight of each student = (55 + 49 + 57 + 63 + 68 + 52 + X + Y)kg ⇒55 + 49 + 57 + 63 + 68 + 52 + X + Y = 456 344 + X + Y = 456 X + Y = 456 – 344 X + Y = 112
So, the sum of X and Y is 112 kg. Hence, the second option is correct.
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